Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600ck |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-195838016000000000 = -1 · 215 · 59 · 115 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- -2 11+ 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-291208,64220912] |
[a1,a2,a3,a4,a6] |
Generators |
[292:-2000:1] |
Generators of the group modulo torsion |
j |
-341385539669/24479752 |
j-invariant |
L |
3.7968404493375 |
L(r)(E,1)/r! |
Ω |
0.31252081076432 |
Real period |
R |
1.5186350469843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10450o1 83600cj1 |
Quadratic twists by: -4 5 |